As part of a study on transportation safety, the U.S. Department of Transportation collected data on the number of fatal accidents per 1,000 licenses and the percentage of licensed drivers under the age of 21 in a sample of 42 cities. Prepare a managerial report that analyzes the data. Consider the complete data set collected over a one-year period. Safety Percent Under 21 Fatal Accidents per 1000 12 2.942 11 0.688 7 0.865 11 1.632 10 2.071 16 2.607 17 3.81 7 0.348 12 1.122 7 0.625 8 1.008 15 2.781 11 1.385 8 1.413 9 0.019 8 0.318 10 1.829 11 2.226 13 2.835 13 2.332 10 1.274 16 4.08 7 2.17 15 3.603 14 2.603 8 0.815 7 0.8 13 2.87 7 1.247 14 3.204 9 0.994 9 0.473 13 1.423 17 3.594 9 1.906 13 1.623 15 2.923 11 1.893 14 2.794 12 2.614 8 0.906 16 3.236 Find the mean and standard deviation of licensed drivers under the age of 21. (Round your answers to two decimal places.) MeanStandard deviation Find the mean and standard deviation of fatal accidents per 1,000 licenses. MeanStandard deviation Use regression analysis to investigate the relationship between the number of fatal accidents and the percentage of drivers under the age of 21. Develop the estimated regression equation. (Round your coefficients to three decimal places.) ŷ = Compute the coefficient of determination and explain what it means in context. As a percentage rounded to one decimal place, the coefficient of determination indicates that % of the variation in percentage of licensed drivers under age 21 is explained by the number of fatal accidents per 1,000. Interpret the slope. For every one percent increase in the percent under 21 there is in the number of fatal accidents by

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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As part of a study on transportation safety, the U.S. Department of Transportation collected data on the number of fatal accidents per 1,000 licenses and the percentage of licensed drivers under the age of 21 in a sample of 42 cities.

Prepare a managerial report that analyzes the data.

Consider the complete data set collected over a one-year period.

Safety

Percent Under 21	Fatal Accidents per 1000
12	2.942
11	0.688
7	0.865
11	1.632
10	2.071
16	2.607
17	3.81
7	0.348
12	1.122
7	0.625
8	1.008
15	2.781
11	1.385
8	1.413
9	0.019
8	0.318
10	1.829
11	2.226
13	2.835
13	2.332
10	1.274
16	4.08
7	2.17
15	3.603
14	2.603
8	0.815
7	0.8
13	2.87
7	1.247
14	3.204
9	0.994
9	0.473
13	1.423
17	3.594
9	1.906
13	1.623
15	2.923
11	1.893
14	2.794
12	2.614
8	0.906
16	3.236

Find the mean and standard deviation of licensed drivers under the age of 21. (Round your answers to two decimal places.)

MeanStandard deviation

Find the mean and standard deviation of fatal accidents per 1,000 licenses.

MeanStandard deviation

Use regression analysis to investigate the relationship between the number of fatal accidents and the percentage of drivers under the age of 21.

Develop the estimated regression equation. (Round your coefficients to three decimal places.)

ŷ =

Compute the coefficient of determination and explain what it means in context.

As a percentage rounded to one decimal place, the coefficient of determination indicates that % of the variation in percentage of licensed drivers under age 21 is explained by the number of fatal accidents per 1,000.

Interpret the slope.

For every one percent increase in the percent under 21 there is in the number of fatal accidents by .

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